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The Mystery of Homochirality on Earth

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26 January 2024

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27 January 2024

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Abstract
Homochirality is an obvious feature of life on Earth. On the other hand, extraterrestrial samples contain largely racemic compounds. The same is true for any common organic synthesis. Therefore, it has been a perplexing puzzle for decades how these racemates could have formed enantiomerically enriched fractions as a basis for the origin of homochiral life forms. Numerous hypotheses have been put forward as to how preferentially homochiral molecules could have formed and accumulated on Earth. In this article, it is shown that homochirality of the abiotic organic pool at the time of formation of the first self-replicating molecules is not necessary and not even probable. It is proposed to abandon the notion of a molecular ensemble and to focus on the level of individual molecules. Although the formation of the first self-replicating, most likely homochiral molecule is a seemingly improbable event, on a closer look, it is almost inevitable that homochiral molecules have formed simply on a statistical basis. In this case, the non-selective leap to homochirality would be one of the first steps in chemical evolution directly out of a racemic “ocean”. Moreover, most studies focus on the chirality of the primordial monomers with respect to an asymmetric carbon atom. However, any polymer with a minimal size that allows folding to a secondary structure, would spontaneously lead to asymmetric higher structures (conformations). Most of the functions of these polymers would be influenced by this inherently asymmetric folding. To summarize, simple and universal mechanisms may have led to homochiral self-replicating systems in the context of chemical evolution. A homochiral monomer pool is deemed unnecessary and probably never existed on primordial Earth.
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Subject: Biology and Life Sciences  -   Life Sciences

1. Introduction

The preferential occurrence of enantiomers in living systems, known as homochirality, has been regarded as a particularly puzzling phenomenon for decades. Considerable efforts have been and are being made to explain the formation or enrichment of homochiral organic substances on primordial Earth by abiotic processes. It is also unclear whether there is a reason for the emergence of certain enantiomers or whether this selection was random. In the case of amino acids, it is striking that only one enantiomer occurs in proteins. The same applies to nucleic acids and sugars. There are also many examples in the field of smell and taste where different enantiomers cause different sensory impressions. As enantiomers behave identically in chemical and physical terms, there is no obvious reason why the other enantiomer could not also take on the same function. Most chemical syntheses produce racemates, which means the 1:1 mixture of both enantiomers. The issue of chirality is particularly relevant in pharmacy, where the use of racemates as drugs caused severe side effects in some cases [1] and it can be assumed that, as a rule, only one enantiomer/diastereomer has the desired effect in drugs with one or more chirality centers and the other isomers either only represent ballast, which may increase the number and severity of side effects [1,2,3]. Chiral resolution and enantioselective synthesis are therefore one of the most important issues in the development of chemically synthesized drugs [4,5,6].
In contrast to the experience in chemical synthesis that chiral substances are not formed without effort, biological systems are highly enantioselective and often cannot make use of the "wrong" enantiomer. However, it must be distinguished between chirality of small molecules exemplified by drugs or amino acids with asymmetric carbon atoms (enantiomers), and asymmetric conformations of larger molecules, such as proteins. Stable secondary structures, such as alpha-helices or beta-sheets and thus the formation of stable functionalities are significantly facilitated in homochiral polymers [7], although some exceptions are known [8]. Also, in the context of any complex binding pocket of an enzyme or antibody, an enantiomer is not similar to its mirror image, as suggested by a 2D chemical structural formula. Enzymes, receptors, or antibodies usually show a high degree of selectivity towards enantiomer pairs. Karl Landsteiner was one of the first, who recognized that antibodies against optically active compounds [9,10] are usually enantioselective. Potential applications of enantioselective antibodies have been described by Hofstetter & Hofstetter [11]. From a biological view, it would be very unfavorable for an organism to develop dual metabolic systems unless there is a strong evolutionary pressure. Assuming a broad mixture of abiotic amino acids as starting monomers or enzyme substrates, it would be much easier for a primordial organism to acquire homologous amino acids of one chirality, than the enantiomers.
In this paper it is proposed that mechanisms based on abiotic self-assembly led to self-replicating molecules, which inevitably have the tendency to show some preference to one enantiomer.
Looking at the history of chirality as a concept, a similar effect was already apparent in Pasteur's first report from 1848 [12], in which the spontaneous occurrence of homochirality of tartaric salts in separate crystals was reported. No template or other chiral reagent is required for this process. Looking at the whole batch of salts, the racemate was not altered at all. However, at the microscopic level, the enantiomers separated spontaneously due to preferential crystallization. Considering the first step of crystal formation, two molecules of the same chirality combined and began crystallization of a enantiomerically pure crystal. Unfortunately, many earlier and later papers took the vitalist viewpoint, advocated by Berzelius [13], that some kind of magic “vital force” occurs in living organisms to produce organic and particularly enantiopure compounds.

2. Organic Material in the Universe and on Prebiotic Earth

When we leave terrestrial space, simple gases, and inorganic minerals, as known from geology, usually dominate. The search for life has so far focused mainly on the search for liquid water, which most scientists regard as a prerequisite for the emergence and development of life forms. Water has been detected on many planets and moons in our solar system. However, if we go one step further and search for organic substances, there is only relatively sparse information from the extraterrestrial realm. A special case are so-called tholins, which occur on Saturn's moon Titan and some comets, among others. Tholins are reddish-brown polymers that presumably formed from simple hydrocarbons and nitrogen. Their structure has not been clarified in detail. Hydrolysis of a tholin surrogate lead to a large number of racemic amino acids [14]. Hence, tholins are thought to have potentially played a role in the origin of life on Earth.

Meteorites

Meteorites are a very valuable source of extraterrestrial organic material [15]. Although the majority of common meteorites consist of metal or rock, a small proportion of meteorites also contain organic material. The best-known meteorite of this type is the Murchison meteorite, which fell in Australia in 1969. Around 100 kg of this material has been collected so far. It belongs to the class of carbonaceous chondrites, which make up around 2-3% of all meteorites. They are also divided into numerous other subclasses. Important in this context is the fact that all meteorites can also be contaminated by terrestrial material and therefore special precautions are necessary when analyzing them. Particularly relevant is the regular occurrence of amino acids, which can undoubtedly be described as substances that can be linked to the origin of life on earth. In the Murchison meteorite, the proteinogenic amino acids glycine, alanine, valine, proline and glutamic acid, and other amino acids that are not normally found in proteins, were detected. The total number of amino acids identified is around 100. As one of the abiotic origins of the amino acids is assumed to be via Strecker amino acid synthesis [16], it is not surprising that racemates are predominantly found. It is also interesting to note that the composition of the amino acids can vary greatly from meteorite to meteorite, so that different formation pathways are postulated. The question of the enantiomer ratios of L- and D-amino acids in meteorites is a controversial topic. Usually only small deviations from the racemic ratio (1:1) are found, which can be caused either by terrestrial contamination or measurement uncertainties.

Micrometeorites

In contrast to meteorites of macroscopic size, which are rarely found and even more rarely belong to the interesting class of carbonaceous chondrites, Earth is continuously hit by a stream of micrometeorites. Estimates assume a mass of 20,000 tons (?) per year. Surprisingly, organic compositions are said to be much more common or even dominant in micrometeorites. Some of these micrometeorites do not appear to have been exposed to higher temperatures. Amino acids have also been found in these meteorites. This may be the main route of entry of abiotically formed organic material to Earth. If one assumes that micro- or other meteorites were much more common in an early phase of the Earth, because the solar system was not yet so "tidy", and moreover a relatively long period of the meteorite stream could accumulate on the Earth, a considerable amount of abiotic-organic material could have accumulated in this way, which may have formed the basis of chemical evolution.

Comets

Another possible source of extraterrestrial material are comets. Unfortunately, these objects are difficult to access, and it was only recently that the Rosetta probe was able to place the small Philae lander on comet 67P/Churyumov-Gerasimenko [17]. The lander had several measuring devices on board that were also intended to detect amino acids. Some small organic compounds, but no amino acids could be found.

Asteroids

Very recently, attempts have been performed to collect samples from asteroids, such as from Bennu by NASA. The samples just arrived in the respective labs. As today, no results have been published yet. Some years ago, the asteroid 162173 Ryugu [18] was visited by the Japanese state space agency JAXA and returned some samples. Already in 2010 and 2014, the probes Hayabusa [19] and Hayabusa2 [20], respectively, were started by JAXA and also returned some material from 25143 Itokawa and 162173 Ryugu. Many different amino acids at relatively low concentrations have been detected [21,22,23].

Prebiotic Soup

According to a theory by Oparin (1924) and Haldane (1929), a prebiotic or primordial soup existed on the early Earth, which could have formed the basis of chemical evolution. In elegant experiments, Miller [24] & Urey [25] attempted to imitate the early Earth's atmosphere. From simple starting materials such as methane, hydrogen, carbon monoxide, ammonia and water, considerable quantities of organic compounds were formed with astonishing yields under the influence of an energy source, for example, an electric arc. Some proteinogenic amino acids were also formed in this way. However, it is disputed whether suitable conditions ever prevailed on Earth. Physical evidence of these products has not yet been found. Therefore, the "primordial soup" has so far remained a laboratory experiment. What is important, however, is the fact that racemates of amino acids could have been formed in this way. And to put it positively: Although the real conditions on early Earth are still unknown, prebiotic soup experiments under different conditions [26] led to the formation of amino acids and other organic compounds, which seems to indicate that this mechanism is quite robust. Although some nucleobases have been produced this way, it has to be noted that ribose was not found in these experiments and hence the spontaneous formation of a polymer such as RNA is difficult to imagine, whereas the formation of peptide bonds by condensation is much more straightforward.

3. Amino Acids, Peptides and Proteinoids

3.1. Amino Acids or Nucleotides?

Based on the analysis results of extraterrestrial material, the frequent occurrence and diversity of amino acids is astonishing. Since no other complex organic substance group was conclusively found in significant amounts, can be assumed that amino acids have been the basis of the first phase of chemical evolution. The competing hypothesis of an RNA world [27] requires complex synthesis sequences under special laboratory conditions [28,29] and unclear mechanisms leading to polymerization of nucleotides. As far as I am aware, only traces of nucleobases [30], but no nucleotides or nucleosides have been detected in extraterrestrial material. Hence, RNA is not the most likely form of self-replicating systems in the very first steps of chemical evolution just due to a lack of precursors. Instead, it is assumed here that the condensation of amino acids and the subsequent autocatalytic formation of peptide dimers (or other oligomers) might be the very first molecule on Earth with the ability of self-replication. Although the experimental proof of such a step is lacking, some papers have been published already, which in their overall view, makes this path look realistic.

3.2. Condensation of Amino Acids

One of the strongest arguments for the abiotic formation peptides is the simplicity of their formation, only requiring one chemical step, known as condensation. Many different reaction conditions, catalytic and non-catalytic, are known for the formation of peptides from amino acids. First of all, the condensation of amino acids by thermal treatment [31,32], which after the loss of water leads to peptide or “proteinoid” [33] formation. The thermal condensation path was advocated and examined by Sidney W. Fox et al. [34]. Without catalysts, relatively high temperatures are often required, which however, are not unlikely in the context of volcanic activity. In a study of Rohlfing it could be shown that even temperatures well below 100 °C are sufficient to obtain proteinoids from amino acid mixtures [35]. Recently, it was reported that borate has a significant catalytic activity for the condensation of peptides (up to Gly39) under relatively mild conditions [36]. Other publications showed the abiotic formation of peptides under hydrothermal conditions under high pressure [37] although others found it essentially impossible that longer peptides could be formed this way [38]. Commeyras et al. presented an experimental study of a peptide synthesis via N-carboxyanhydrides (NCA) formed by nitric oxides [39]. Without going into the subject of abiotic condensation in more detail, it can be stated that the reaction is relatively straightforward and compatible with the conditions on the primordial Earth.

3.3. Formation of Autocatalytic Peptide Oligomers

To enable some information transfer during a potential self-replication, a peptide formed by condensation needs to autocatalyze [40] the formation of the same or a complementary peptide, also known as template replication. Several studies have been published based on the well-known structure element of a superhelical coiled coil. These two intertwined α-helices are stabilized by hydrophobic interactions. The autocatalytic mechanism is not very convincingly shown, yet. However, some ligations of peptides [41,42] have been experimentally shown. Sequence selective sorting of heterotrimers have been shown for collagen-like peptides [43,44]. This shows that peptides can have very distinct self-organization properties. Nevertheless, it should be considered that these first autocatalytic systems had plenty of time and material available. This means that today’s reaction speed considerations cannot be applied here. This is also relevant for any mechanisms requiring amino acid racemization [45] in the formed peptide. Even very low isomerization rate constants could finally lead to homochiral polymers from a racemic pool.

3.4. Homochirality in Abiotic Peptides

Obviously no abiotically formed peptides have been found yet. However, the first very short peptides might have consisted of a racemic mixture of the amino acids available. There is no solid evidence to suggest otherwise. Recently, an article discussed the topic how homochiral peptides might be formed from racemic mixtures based on the definition of the right location and some thermodynamic considerations [46]. Unfortunately, very few experimental data about chiral selectivity of peptide synthesis have been presented. However, most studies show that homochiral peptides are required to form ordered secondary structures, such as α-helices, although other secondary structures might be possible [7,8,47]. These results seem to support the notion that a specific secondary structure, which has been formed, leads to the preference of one or the other enantiomer for further peptide growth.

4. The Mystery of Homochirality

In many papers, homochirality on Earth is seen as a puzzling situation, which requires some explanation [48,49,50,51,52,53,54,55]. Particularly, chemical evolution, irrespective the molecular basis, was seen as unlikely or inhibited if the enrichment of one type of enantiomer did not occur previously. At least a “symmetry breaking” was considered to be essential. The fact that in extraterrestrial material mainly racemic compounds have been found, was seen as to be in contradiction with the situation today, where homochiral compounds are dominant. This pre-enrichment of one enantiomer was tried to be explained by different mechanisms:
Meierheinrich et al. proposed an asymmetric UV photodecomposition in space [56]. However, in their experiments only an enantiomeric excess (ee) of up to 2.6% could be obtained. Very recently, a similar hypothesis was pursued by Bocková et al. to explain a small ee of isoleucine in meteorites [57]. In these experiments also enantiomeric excesses of only 2.05 % were achieved. A comprehensive review article was published [58] in which the many claimed enantiomeric excesses in extraterrestrial material were discussed in detail. The overall view seems to be contradictory and did not allow to offer a consistent hypothesis. Nevertheless, the authors stressed the importance of enantiomeric excesses for the identification of any forms of life. From an analytical point of view, the uncertainty of enantioselective measurements cannot completely rule out a statistical or even systematic error. Some studies seem to underestimate the complexity of such an analytical undertaking.
In 2009, Noorduin et al. [59] showed a complete deracemization of a slurry of an amino acid derivate in acetonitrile by circularly polarized light. This concept belongs to the most popular ones to explain terrestrial homochirality. Nevertheless, the source of strongly polarized light outside of the laboratory seems to be still unclear.
Blackmond [60] discussed the possibility of autocatalysis, which might in fact play an important role. However, in this and other papers the authors focus on the chirality of small molecules, such as aminonitrile hydration. It seems to be difficult to explain, how this small-molecule autocatalysis might have worked on conditions of the primordial Earth.
Another concept is the “Eve crystal”, which was shown with achiral NaClO3 [61]. This stunning experiment probably caused by the crushing of the very first crystal in a solution, is definitely a significant discovery. It is somehow related to the experiments of Pasteur, who manually picked the respective crystals, which represent a macroscopic separation of two enantiomers. Therefore, all experiments based on crystals or crystallization [62] might at some point lead to at least local enantioseparation [63]. On the other hand, a mechanism based on crystallization seems to be not very likely considering the extremely complex mixtures found in extraterrestrial material or Miller/Urey soups.
Viedma [64] has shown that in the case of mixed crystals in a solution, crystal growth mechanisms might finally lead to a homochiral situation.Viedma [64] has shown that in the case of mixed crystals in a solution, crystal growth mechanisms might finally lead to a homochiral situation.
Very recently, the effect of a magnetic field on the surface of magnetite was used for the enantioselective crystallization of ribo-aminooxazoline. An enantiomeric excess (ee) of about 60% was achieved [65].Very recently, the effect of a magnetic field on the surface of magnetite was used for the enantioselective crystallization of ribo-aminooxazoline. An enantiomeric excess (ee) of about 60% was achieved [65].
Finally, it was postulated that the source of the imbalance of enantiomers is the small difference in energy due to parity violation in the weak force [66]. However, the calculated effect was too small to be relevant in this context [67].Finally, it was postulated that the source of the imbalance of enantiomers is the small difference in energy due to parity violation in the weak force [66]. However, the calculated effect was too small to be relevant in this context [67].

5. The Mystery Disappears

5.1. Chirality of Higher Structures

Nearly all discussions around homochirality are limited to the racemic or homochiral property of prebiotic monomers, such as amino acids or sugars. However, it is rarely considered that in any complex molecules, symmetry is highly unlikely, if not impossible in the strict sense. In a thought experiment following the random polymerization of any monomer mixture, non-chiral, racemic, or based on pure enantiomers, the polymer of growing length will at some point spontaneously form a secondary and later a tertiary structure, which always is asymmetric. In Figure 1 such examples are shown in a schematic way, together with their respective mirror molecules to demonstrate that all folds are indeed asymmetric. Even a polymer molecule consisting of a “racemic” mixture of monomers would most likely fold in a defined structure with chiral functionality. However, it is important to look on the single molecule, not on a molecule ensemble, in which also the mirror molecule might have been formed. A similar polymer-based hypothesis was proposed on the basis of a RNA-world model [68].
To illustrate this rule with experimentally determined structures, two examples of relatively short peptides from the Protein Data Bank (PDB) have been selected and shown with their mirror image.

5.2. Statistics of Homochiral Molecules

In this thought experiment, we would like to look on the non-selective polymerization of racemic amino acids, regardless of its mechanism. To simplify the situation, we assume only one amino acid, which is present in a racemic mixture. Obviously, a crude mixture of all possible sequences would be formed. As shown in several papers, peptides with amino acids of different chirality, fold into different structures [47]. Hence, this mixture of polymers would offer quite dissimilar functionalities. However, if one assumes that only homochiral polymers would lead to ordered secondary structures, it can be seen that, depending on the length of the peptide, some homochiral polymers are always present in low concentrations. In Figure 3, a length of four amino acids is shown, which leads to 12.5% of homochiral polymers. If we assume a length of 30 amino acids for the first self-replicating peptide, a fraction of approximately 10-9 would be homochiral. This seems to be a very low yield and perhaps negligible. However, the picture is immediately reversed when we look at the level of individual molecules. A peptide consisting of alanine (Ala30) would have a molecular mass of about 2150 g/mol, which is equivalent to 3.58x10-21 g per molecule. If we assume the fraction above, only about 4 picogram of a peptide mixture would be necessary to achieve statistically at least one homochiral peptide. Considering geological time and size scales, it is obvious, that an astronomically large number of homochiral molecules may have formed on the primordial Earth, without any enrichment. Extending this thought experiment to a higher number of amino acids does not significantly change the argument. The probability decreases considerably, but the enormous size of the planet and the millions of years available seem to compensate for this. On the other hand, several parameters could have increased the probability of such an event. Firstly, the length of the peptide might have been relatively short, secondly, a small proportion of the "wrong" enantiomer might not completely abolish the autocatalytic activity, and finally, similar amino acids such as alanine and valine might be partially interchangeable in their function.

5.3. A Digital Assay as a Model for Compartmentalization

Quite a few papers deal with the question of the formation of the first structures, which can be considered to be a primordial cell. Up to now, no convincing hypotheses could be presented. Cell membranes are quite complex partly self-organizing structures. However, for lipids, which would be needed for a bilayer of “modern” structure, no abiotic formation is known. Therefore, it might be sensible to assume that chemical evolution came along without this feature for some time.
In bioanalytical chemistry, the development of digital immunoassays [69,70,71,72] was an important step for ultimately sensitive assays down to the single molecule level. Their crucial design feature is also compartmentalization. This technology can be realized in different ways: Aqueous droplets with reagent beads in “oil” [73], or reagent beads in nanowells made of a solid material [74,75]. The size of the droplets is chosen this way that each compartment preferentially contains a single enzyme molecule. Caused by the separation of the liquid volumes, any enzymatic product is kept highly localized and is not diluted to undetectable concentration. In Figure 4, a typical result is shown in schematical representation.
Transferred to the situation of chemical evolution, it is possible that simple ways of compartmentalization supported the development of more complex systems. However, not complex bilayers, but droplets trapped in porous rocks (such as pumice stones, Figure 4, left), might have been the “reagent tubes” of chemical evolution. Since such stone pores are not completely closed, even some slow material exchange might have occurred to avoid that the droplet reactions run into equilibrium and would come to a halt. The surface of the rock might have had some function, too. A single self-replicating peptide in such a pore might be first step to life.

6. Conclusions

The combined analysis of the collected publications allows some preliminary conclusions, although some research deficits are obvious. This summary is based on some limited material evidence, discussions in the cited papers and derived probabilities. It cannot be ruled out that some completely unknown processes are responsible for the first steps of evolution. Their discovery must be left to future research efforts. Today, the following can be stated:
The homochirality of organic precursors is not a prerequisite for the emergence of life. Therefore, hypotheses for abiotic enrichment or any other enantioselective preference for such monomers are not required. Several simple mechanisms are proposed, which all do not need a homochiral abiotic precursor pool.
  • Homochiral polymers can be formed from racemic starting materials at the single-molecule level, which then may have multiplied by autocatalysis.
  • All polymers that can form secondary structures are asymmetric, regardless of their origin or which monomers they consist of. Even completely achiral monomers would constantly form asymmetric polymer molecules (conformations).
  • Self-replicating molecules would have a very strong tendency to form products of a higher enantiomeric excess, if the “first” self-replicating molecule was not already completely homochiral and inherit these properties to the next generation of molecules, probably due to a better formation of secondary structures and a more efficient mechanism of self-replication.
For a long time, the abiotic starting materials (primordial soup of any origin) would have dominated the situation on Earth. Individual, self-replicating molecules could have existed and reproduced as homochiral units in an "ocean" of racemic substrate. It seems likely that the "other" enantiomers first would simply remain, but were finally either abiotically [45] or enzymatically racemized until they were all consumed by the self-replicating units. Only after the lack of primordial substrate did homochiral molecules become dominant on Earth through biochemical synthesis.
Based on repeated evidence from extraterrestrial material, it seems more likely that peptides and not RNA were formed in a first step. It is also possible that the first phase was determined by partially segregated aqueous droplets for example in porous rocks rather than complex cells. In the context of current space missions to extraterrestrial objects, it makes little sense to search for chiral compounds as primary sources of homochirality on Earth. Even if some enantiomeric excesses would be unequivocally detected, this effect would be canceled out by the much stronger effects discussed here. However, the above conclusions make the search for chiral compounds as indication for possible extraterrestrial life (“biomarkers”) even more relevant, including compounds on a different chemical basis. Homochirality seems to be an inevitable and universal feature of life.
It is also helpful to abandon the notion of the spontaneous emergence of complex ensembles and structures based on homochiral monomers as the beginning of life on Earth. Single molecules with the ability to self-replicate by enantioselective autocatalysis could be the most likely first step in chemical evolution. Based on this hypothesis, a pool of homochiral abiotic precursors probably never existed.

Funding

This research received no external funding.

Institutional Review Board Statement

Not applicable.

Conflicts of Interest

The author declares no conflicts of interest.

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Figure 1. Schematic shapes of folded polymers, exemplified by proteins. All of them are asymmetric (chiral) structures, regardless of the chirality of the monomers. Even completely non-chiral monomers would lead exclusively to asymmetric polymers. Created with BioRender.com.
Figure 1. Schematic shapes of folded polymers, exemplified by proteins. All of them are asymmetric (chiral) structures, regardless of the chirality of the monomers. Even completely non-chiral monomers would lead exclusively to asymmetric polymers. Created with BioRender.com.
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Figure 2. 3-dimensional structures of small peptides with their (non-natural) mirror image. (a) A mutant ubiquitin peptide loop (PDB 1E0Q), consisting of 17 amino acids; (b) An antimicrobial peptide from Helicobacter pylori (PDB 1OT0), consisting of 20 amino acids. The well-formed secondary structures are obviously asymmetric and therefore chiral. Data and visualization are from the RCSB Protein Data Bank (PDB).
Figure 2. 3-dimensional structures of small peptides with their (non-natural) mirror image. (a) A mutant ubiquitin peptide loop (PDB 1E0Q), consisting of 17 amino acids; (b) An antimicrobial peptide from Helicobacter pylori (PDB 1OT0), consisting of 20 amino acids. The well-formed secondary structures are obviously asymmetric and therefore chiral. Data and visualization are from the RCSB Protein Data Bank (PDB).
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Figure 3. Random polymerization of a racemate always creates a small fraction of a peptide entirely consisting of homochiral monomers. Considering that AA1 also can be the other enantiomer, 1/16 of (1/2n) of the product molecules would be homochiral of a specific enantiomeric species. If we assume that the mirror molecule shows chemically the same properties, 1/8 (1/2n-1) of the polymers would be homochiral, of one enantiomer or of the other. Created with BioRender.com.
Figure 3. Random polymerization of a racemate always creates a small fraction of a peptide entirely consisting of homochiral monomers. Considering that AA1 also can be the other enantiomer, 1/16 of (1/2n) of the product molecules would be homochiral of a specific enantiomeric species. If we assume that the mirror molecule shows chemically the same properties, 1/8 (1/2n-1) of the polymers would be homochiral, of one enantiomer or of the other. Created with BioRender.com.
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Figure 4. Here a close-up of a volcanic pumice stone and a schematical result of a digital immunoassay are shown. The enzymatic product (green, fluorescent dye) is kept in a concentrated state by the compartmentalization. Without the wells, the dye would be highly diluted and would be undetectable. Photo source: https://commons.wikimedia.org/wiki/File:Pomice_di_veglia.jpg.
Figure 4. Here a close-up of a volcanic pumice stone and a schematical result of a digital immunoassay are shown. The enzymatic product (green, fluorescent dye) is kept in a concentrated state by the compartmentalization. Without the wells, the dye would be highly diluted and would be undetectable. Photo source: https://commons.wikimedia.org/wiki/File:Pomice_di_veglia.jpg.
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